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Solve for .Write your answers as integers or as proper or improper fractions in simplest form._____ or _____
Full solution
Q. Solve for .Write your answers as integers or as proper or improper fractions in simplest form._____ or _____
- Understand the equation: Understand the equation .We need to find the value of such that when we take the absolute value of and multiply it by , the result is .
- Isolate the absolute value: Isolate the absolute value |w|\(\newline). Divide both sides of the equation by \$-9\) to get the absolute value by itself. \(\newline\)\(0 / -9 = (-9|w|) / -9\)\(\newline\)\(0 = |w|\)
- Solve for \(w\): Solve for \(w\).\(\newline\)The absolute value of a number is always non-negative, and the only number whose absolute value is \(0\) is \(0\) itself.\(\newline\)Therefore, \(|w| = 0\) implies that \(w = 0\).
